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Representation Theory

Published by the American Mathematical Society, the Representation Theory (ERT) is devoted to research articles of the highest quality in all areas of pure and applied mathematics.

ISSN 1088-4165

The 2020 MCQ for Representation Theory is 0.7.

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Principal nilpotent orbits and reducible principal series
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by Wentang Kuo PDF
Represent. Theory 6 (2002), 127-159 Request permission

Abstract:

Let $G$ be a split reductive $p$-adic group. In this paper, we establish an explicit link between principal nilpotent orbits of $G$ and the irreducible constituents of principal series of $G$. A geometric characterization of certain irreducible constituents is also provided.
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Additional Information
  • Wentang Kuo
  • Affiliation: Department of Mathematics, Purdue University, MATH 726, West Lafayette, Indiana 47906
  • Address at time of publication: Department of Mathematics and Statistics, Queen’s University, Kingston, Ontario, Canada, K7L 3N6
  • MR Author ID: 698451
  • Email: wtkuo@mast.queensu.ca
  • Received by editor(s): July 15, 2001
  • Received by editor(s) in revised form: April 11, 2002
  • Published electronically: July 25, 2002
  • © Copyright 2002 American Mathematical Society
  • Journal: Represent. Theory 6 (2002), 127-159
  • MSC (2000): Primary 22E50; Secondary 22E35
  • DOI: https://doi.org/10.1090/S1088-4165-02-00132-2
  • MathSciNet review: 1915089